On the stability of solutions to the system of classical elastodynamics
type: Item
instance of: scholarly article
title: On the stability of solutions to the system of classical elastodynamics
zbMATH Open document ID: 0588.73089
DOI: 10.1007/BF00955523
author: Remigio Russo
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: This work is a study of stability of an elastic body in an unbounded domain. It is assumed that the medium is homogeneous, linearly elastic and isotropic. The elasticity tensor is strongly elliptic. The conditions for Lyapunov stability are stated in the form of two theorems.
Mathematics Subject Classification ID: 74H55
zbMATH DE Number: 3945494
zbMATH Keywords: elastodynamics
zbMATH Keywords: information about stability measured by magnitude of displacement
zbMATH Keywords: unbounded domain
zbMATH Keywords: homogeneous
zbMATH Keywords: linearly elastic
zbMATH Keywords: isotropic
zbMATH Keywords: elasticity tensor is strongly elliptic
zbMATH Keywords: Lyapunov stability
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
cites work: The elastic instability of a director rod
cites work: Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
cites work: The domain of dependence inequality for symmetric hyperbolic systems
cites work: Energy inequalities and the domain of influence theorem in classical elastodynamics
cites work: On some classical theorems in micropolar elasticity
cites work: A uniqueness theorem for a linear hyperbolic partial differential system of the second order
cites work: Some theorems in classical elastodynamics
cites work: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators
cites work: On the steady-state solutions of the Navier-Stokes equations. III
cites work: Q5576913
cites work: On uniqueness questions in the theory of viscous flow
full work available at URL: https://doi.org/10.1007/bf00955523
OpenAlex ID: W2046274483
description: scientific article; zbMATH DE number 3945494